Is Angle of Twist the Same as Degrees of Rotation in Beam Mechanics?

  • Thread starter Thread starter wildleaf
  • Start date Start date
  • Tags Tags
    Angle Rotation
Click For Summary
SUMMARY

Angle of twist and degrees of rotation are distinct concepts in beam mechanics. The angle of twist, calculated using the formula TL/JG, represents the rotation around the beam's centroidal axis due to torsion and is measured in radians. In contrast, degrees of rotation, derived from the moment equation EI dw/dx, indicates the beam's deflection from the horizontal and is unit-less, expressed in degrees. Understanding the difference between these two measurements is crucial for accurate analysis in structural engineering.

PREREQUISITES
  • Understanding of beam mechanics principles
  • Familiarity with torsion and its effects on beams
  • Knowledge of moment equations in structural analysis
  • Basic proficiency in calculus for integrating moment equations
NEXT STEPS
  • Study the derivation of the angle of twist formula TL/JG in detail
  • Learn about the relationship between torsion and shear stress in beams
  • Explore the application of moment equations in beam deflection analysis
  • Investigate the differences between radians and degrees in engineering contexts
USEFUL FOR

Structural engineers, mechanical engineers, and students studying beam mechanics who need to differentiate between torsional effects and deflection in beams.

wildleaf
Messages
24
Reaction score
0

Homework Statement



is angle of twist and degrees rotation the same thing??

Homework Equations



(angle of twist is TL/JG, units are rad. Degrees roation is found by using moment and integrating moment equation once. to get EI dw/dx = integral of Moment + C1 ) (Units are unit-less but u say its degree)

The Attempt at a Solution

 
Physics news on Phys.org
Angle of twist is a rotation in the beam's centroidal axis due to torsion. Degrees of rotation how you described it (EI dw/dx) is a rotation of the beam from the horizontal due to deflection. It's not the same thing.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
8
Views
2K
  • · Replies 7 ·
Replies
7
Views
14K
  • · Replies 8 ·
Replies
8
Views
4K